A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides to keep 7 apples for herself. (a) How many different ways can she distribute the remaining apples to the 5 children? (b) How many different ways can she distribute the remaining apples to the 5 children if each child receives at least 2 apples? (c) How many different ways can she distribute the remaining apples to the 5 children if each child receives at most 3 apples?
A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides to keep 7 apples for herself. (a) How many different ways can she distribute the remaining apples to the 5 children? (b) How many different ways can she distribute the remaining apples to the 5 children if each child receives at least 2 apples? (c) How many different ways can she distribute the remaining apples to the 5 children if each child receives at most 3 apples?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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![A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she
decides to keep 7 apples for herself.
(a) How many different ways can she distribute the remaining apples to the 5 children?
(b) How many different ways can she distribute the remaining apples to the 5 children if each
child receives at least 2 apples?
(c) How many different ways can she distribute the remaining apples to the 5 children if each
child receives at most 3 apples?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F354b71d7-bfbb-44fc-b0f1-84cf9a22ba02%2F779e47db-e1c1-4e92-a5b2-a766b1a53f6c%2F2pbceta_processed.png&w=3840&q=75)
Transcribed Image Text:A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she
decides to keep 7 apples for herself.
(a) How many different ways can she distribute the remaining apples to the 5 children?
(b) How many different ways can she distribute the remaining apples to the 5 children if each
child receives at least 2 apples?
(c) How many different ways can she distribute the remaining apples to the 5 children if each
child receives at most 3 apples?
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